Yes Tin, it should work.
Back when I was in high school I needed a PWM motor control circuit for a school project. (I had built a Helium Neon laser and wanted to draw patterns with two motors and mirrors).
These were the days before the Internet and I was able to get hold of the 555 datasheet from the local component retailer, it was a photocopy of a photocopy of a photoccopy.... remember the quality of these?
Studying the datasheet I was a but disheartened to find the 555 could not do what I wanted, which was 0 to 100% variable PWM, as far as I could tell, it could only do ~0 to 50% or ~50-100%.
Much studying and re-studying and brainstorming, I came up with an idea of adding a pair of diodes to allow 0-100% PWM... I thought I was so clever! haha (I was about 13 or 14 years old)
Anyway, the circuit worked as hoped and the project got made and I got a pass grade.
The teacher(who was an Electronic Engineer) was talking to me about it and was pretty surprised with my circuit, he told me to wait while he got something and walked away.
He came back with a large lever-arch file full of datasheets. He showed me an App Note for the 555 (I had never heard of an App Note back then) which had heaps of example circuits and uses for the 555.... including my circuit! Some of the component values were different(was a diferent oscillating freq) but otherwise identical.
I was so angry! hahahaha. I wish I had known about the App Note, it would have saved me so much time, I hate re-inventing the wheel.
I don't know if the circuit above is the same as the one I used ~25 years ago, too long ago to remember, but it looks similar. The 555 App Note should have the circuit anyway. (edit: this will depend on the manufacturer that publishes the datasheet/app note)
The internet really has made the world a better place as far as accessibility to technical literature is concerned.
Component datasheets of decent quality were so hard to source before the mid 90's.
Addendum: That same teacher ended up addicted to lasers after my school project. I was told he later(after I had left school) that he had built/bought many lasers for personal and school use.
About 20 years later(5 years ago) I met up with the teacher again (He came into component store I was managing at the time), after chatting about old times he went back out to his car and came back into the store with his latest laser.... haha, Addict!